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Analysis of hadronic coupling constants $G_{B_{c}^{} B_{c} ϒ}$ , $G_{B_{c}^{} B_{c} J / ψ}$ , $G_{B_{c} B_{c} ϒ}$ and $G_{B_{c} B_{c} J / ψ}$ with QCD sum rules

Zhi-Gang Wang^1,*

¹Department of Physics, North China Electric Power University, Baoding 071003, People’s Republic of China

^*zgwang@aliyun.com

Phys. Rev. D 89, 034017 – Published 14 February, 2014

DOI: https://doi.org/10.1103/PhysRevD.89.034017

Abstract

In this article, we study the momentum dependence of the hadronic coupling constants $G_{B_{c}^{*} B_{c} ϒ}$ , $G_{B_{c}^{*} B_{c} J / ψ}$ , $G_{B_{c} B_{c} ϒ}$ , and $G_{B_{c} B_{c} J / ψ}$ with the off-shell $Υ$ and $J / ψ$ using the three-point QCD sum rules. Then we fit the hadronic coupling constants into analytical functions and extrapolate them into deep time-like regions to obtain the on-shell values $G_{B_{c}^{*} B_{c} ϒ} (q^{2} = M_{ϒ}^{2})$ , $G_{B_{c}^{*} B_{c} J / ψ} (q^{2} = M_{J / ψ}^{2})$ , $G_{B_{c} B_{c} ϒ} (q^{2} = M_{ϒ}^{2})$ , and $G_{B_{c} B_{c} J / ψ} (q^{2} = M_{J / ψ}^{2})$ for the first time. These hadronic coupling constants can be taken as basic input parameters in phenomenological analyses.

Article Text

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